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Finding the Fourth Proportional to 55,884.69, 77,119.32 and 30,734.19

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Solution

The fourth proportional to 55,884.69, 77,119.32 and 30,734.19 is: 42,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,884.69 : 77,119.32 = 30,734.19 : x
  2. Step 2: Convert to fraction form
    55,884.69/77,119.32 = 30,734.19/x
  3. Step 3: Cross multiply
    55,884.69x = 77,119.32 × 30,734.19
  4. Step 4: Simplify right side
    55,884.69x = 2,370,199,833.55
  5. Step 5: Solve for x
    x = 2,370,199,833.55/55,884.69
  6. Step 6: Final answer
    x = 42,412.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.